445256652544 has 144 divisors (see below), whose sum is σ = 1001924453376. Its totient is φ = 195650150400.

The previous prime is 445256652509. The next prime is 445256652551.

445256652544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445256652491 and 445256652500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103618204 + ... + 103622500.

It is an arithmetic number, because the mean of its divisors is an integer number (6957808704).

Almost surely, 2^445256652544 is an apocalyptic number.

445256652544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445256652544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500962226688).

445256652544 is an abundant number, since it is smaller than the sum of its proper divisors (556667800832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445256652544 is a wasteful number, since it uses less digits than its factorization.

445256652544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5528 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 52.

The spelling of 445256652544 in words is "four hundred forty-five billion, two hundred fifty-six million, six hundred fifty-two thousand, five hundred forty-four".